Atkin-Lehner |
3+ 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28413a |
Isogeny class |
Conductor |
28413 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-38442789 = -1 · 33 · 7 · 112 · 412 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,84,-63] |
[a1,a2,a3,a4,a6] |
j |
2411494821/1423807 |
j-invariant |
L |
2.4019954930303 |
L(r)(E,1)/r! |
Ω |
1.200997746515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28413b2 |
Quadratic twists by: -3 |